A Treatise on Thermal Conduction in Nano Scale Phenomenon

(On definition of Temperature and Equation of Thermal Conduction in Nano Scale Phenomenon)

Abstract

In this paper, I calculated one - dimension shock tube problem by continuous mechanics and molecular dynamics. Then I tried to explain why the difference occur between them, and considered on thermal conduction and definition of temperature in nano scale phenomenon. I suppose only Newton’s low and Fourier’s low at continuous mechanics. Compared to molecular dynamics simulation, I was forced to modify conventional analysis of thermal conduction and definition of temperature in nano scale phenomenon. In nano scale phenomenon, we must think temperature at one point not as continuous scalar but as discrete tensor.